Module MA4040-KP04, MA4040

Numerics 2 (Num2)


Duration

1 Semester

Turnus of offer

each summer semester

Credit points

4

Course of studies, specific fields and terms:

  • Bachelor MES 2020, optional subject, mathematics / natural sciences
  • Bachelor MES 2014, optional subject, mathematics / natural sciences
  • Bachelor MES 2011, optional subject, medical engineering science
  • Master Computer Science 2012, optional subject, advanced curriculum analysis
  • Minor in Teaching Mathematics, Master of Education 2023, compulsory, mathematics

Classes and lectures:

  • Numerics 2 (exercise, 1 SWS)
  • Numerics 2 (lecture, 2 SWS)

Workload:

  • 45 hours in-classroom work
  • 60 hours private studies and exercises
  • 15 hours exam preparation

Contents of teaching:

  • Polynomial interpolation
  • Hermite interpolation
  • Approximation
  • Numerical quadrature

Qualification-goals/Competencies:

  • Students know basic numerical techniques.
  • They can transform a continuous problem into a discrete one.
  • They can handle both stable and robust numerical algorithms competently.
  • They can competently work on practical tasks.

Grading through:

  • written exam

Responsible for this module:

Literature:

  • M. Bollhöfer, V. Mehrmann : Numerische Mathematik Vieweg (2004)
  • P. Deuflhard, A. Hohmann : Numerische Mathematik I
  • P. Deuflhard, F. Bornemann : Numerische Mathematik II 3. Auflage, De Gruyter (2008)
  • M. Hanke-Bourgeois : Grundlagen der Numerischen Mathematik und des Wissenschaftlichen Rechnens 3. Aufl., Teubner (2009)
  • H. R. Schwarz, N. Köckler : Numerische Mathematik 6. Auflage, Teubner (2006)
  • J. Stoer : Numerische Mathematik I 10. Auflage, Springer (2007)
  • J. Stoer, R. Bulirsch : Numerische Mathematik II 5. Auflage, Springer (2005)
  • A. M. Quarteroni, R. Sacco, F. Salieri : Numerical Mathematics 2. Auflage, Springer (2006)

Language:

  • offered only in German

Notes:

The lecture is identical to that in module MA4040-MML/Numerics 2

Prerequisites for attending the module:
- None (The competences of the required modules are required for this module, but the modules are not a prerequisite for admission).

Prerequisites for the exam:
- Preliminary examinations can be determined at the beginning of the semester. If preliminary work has been defined, it must have been completed and positively assessed before the initial examination.

Last Updated:

18.11.2021